61249920 has 256 divisors, whose sum is σ = 217382400. Its totient is φ = 14598144.

The previous prime is 61249913. The next prime is 61249949. The reversal of 61249920 is 2994216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839004 + ... + 839076.

It is an arithmetic number, because the mean of its divisors is an integer number (849150).

Almost surely, 2^61249920 is an apocalyptic number.

61249920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108691200).

61249920 is an abundant number, since it is smaller than the sum of its proper divisors (156132480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61249920 is a wasteful number, since it uses less digits than its factorization.

61249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 61249920 is about 7826.2328102351. The cubic root of 61249920 is about 394.1865865365.

The spelling of 61249920 in words is "sixty-one million, two hundred forty-nine thousand, nine hundred twenty".